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Saturday, October 20, 2012

Finding Unknown Coefficients - Quadratic Equation

Category: Algebra

"Published in Newark, California, USA"

Find the value of k to the given equation



if one root is double the other.

Solution:

Consider the given equation



If a = 2, b = k, and c = 25, then substitute these values to the Sum of the Roots Formula





From the word problem, if r1 = 2r2, then









From the Product of the Roots Formula



Substitute the value of the variables to the above equation









Therefore, the answer is k = 15